<abstract><p>In this paper, we find the solution of time-fractional Newell-Whitehead-Segel equation with help two different methods. The newell-Whitehead-Segel plays an efficient role in nonlinear systems, describing stripe patterns' appearance two-dimensional systems. Four case study problems are solved by proposed methods aid Antagana-Baleanu fractional derivative operator and Laplace transform. numerical results obtained suggested techniques compared exact solution. To show...

In this paper, we establish some new results on the left-hand side of q-Hermite–Hadamard inequality for differentiable convex functions with a critical point. Our work extends Alp et. al (q-Hermite Hadamard inequalities and quantum estimates midpoint type via quasi-convex functions, J. King Saud Univ. Sci., 2018, 30, 193-203), by considering point-type inequalities.

In this paper, the Elzaki transform decomposition method is implemented to solve time-fractional Swift–Hohenberg equations. The presented model related temperature and thermal convection of fluid dynamics, which can also be used explain formation process in liquid surfaces bounded along a horizontally well-conducting boundary. Caputo manner, fractional derivative described. suggested easy implement needs small number calculations. validity confirmed from numerical examples. Illustrative...

In the last two decades, academicians have concentrated on nanofluid squeezing flow between parallel plates. The increasing energy demands and their applications seen focus shifted to hybrid flows, but so much is still left be investigated. This analysis executed explore symmetry of MHD (MoS2/H2O) (MoS2–SiO2/H2O–C2H6O2) plates heat transport property. phenomenon analyzed with magnetic field, thermal radiation, source/sink, suction/injection effect, porous medium. present model, plate...

The whole world is still shaken by the new corona virus and many countries are starting opting for lockdown again after first wave that already killed thousands of people. New observations also show spreads quickly during cold period closer to winter season. On other side, number infections decreases considerably hot summer time. geographic structure our planet such when some (in a hemisphere) in their season, others hemisphere However, we have observed undertaking national time, which...

This article investigates different nonlinear systems of fractional partial differential equations analytically using an attractive modified method known as the Laplace residual power series technique. Based on a combination transformation and technique, we achieve analytic approximation results in rapid convergent form by employing notion limit, with less time effort than method. Three challenges are evaluated simulated to validate suggested method’s practicability, efficiency, simplicity....

In this paper, we used the natural decomposition approach with non-singular kernel derivatives to find solution nonlinear fractional Gardner and Cahn–Hilliard equations arising in fluid flow. The derivative is considered an Atangana–Baleanu Caputo manner (ABC) Caputo–Fabrizio (CF) throughout paper. We implement transform aid of suggested obtain followed by inverse transform. To show accuracy validity proposed methods, focused on two problems compared it exact other method results....

In this paper, we prove some new Newton’s type inequalities for differentiable convex functions through the well-known Riemann–Liouville fractional integrals. Moreover, of bounded variation. It is also shown that newly established are extension comparable inside literature. Finally, give examples with graphs and show validity inequalities.

This article introduces modified semianalytical methods, namely, the Shehu decomposition method and q-homotopy analysis transform method, a combination of to provide an approximate analytical solution fractional-order Navier-Stokes equations. equations are widely applied as models for spatial effects in biology, ecology, sciences. A good agreement between exact obtained solutions shows accuracy efficiency present techniques. These results reveal that suggested methods straightforward...

The concepts of convex and non-convex functions play a key role in the study optimization. So, with help these ideas, some inequalities can also be established. Moreover, principles convexity symmetry are inextricably linked. In last two years, have emerged as new field due to considerable association. this paper, we version interval-valued (I-V·Fs), known left right χ-pre-invex (LR-χ-pre-invex I-V·Fs). For class I-V·Fs, derive numerous dynamic interval Riemann–Liouville fractional integral...

The main goal of the current work is to develop numerical approaches that use Yang transform, homotopy perturbation method (HPM), and Adomian decomposition analyze fractional model regularized long-wave equation. shallow-water waves ion-acoustic in plasma are both explained by first combines transform with He’s polynomials. In contrast, second polynomials method. Caputo sense applied derivatives. strategy’s effectiveness shown providing a variety integer-order graphs tables. To confirm...

In this study, we solve the fractional advection–dispersion equation (FADE) by applying Laplace transform decomposition method (LTDM) and variational iteration (VITM). The Atangana–Baleanu (AB) sense is used to describe derivative. This utilized determine solute transport in groundwater soils. FADE converted into a system of non-linear algebraic equations whose solution leads approximate for using techniques presented. proposed method’s convergence examined. suggested applicability...

In recent years, the availability of advanced computational techniques has led to a growing emphasis on fractional-order derivatives. This development enabled researchers explore intricate dynamics various biological models by employing derivatives instead traditional integer-order paper proposes Caputo-Fabrizio cholera epidemic model. Fixed-point theorems are utilized investigate existence and uniqueness solutions. A effective numerical scheme is employed demonstrate model's complex...

This research article is dedicated to solving fractional-order parabolic equations using an innovative analytical technique. The Adomian decomposition method well supported by natural transform establish closed form solutions for targeted problems. procedure simple, attractive and preferred over other methods because it provides a solution the given graphs are plotted both integer fractional-order, which shows that obtained results in good contact with exact of It also observed problems...

This paper aims to implement an analytical method, known as the Laplace homotopy perturbation transform technique, for result of fractional‐order Whitham–Broer–Kaup equations. The technique is a mixture transformation and technique. Fractional derivatives with Mittag‐Leffler exponential laws in sense Caputo are considered. Moreover, this show equations both see their difference real‐world problem. efficiency operators confirmed by outcome actual results Some problems have been presented...

In this paper, the new iterative transform method and homotopy perturbation was used to solve fractional-order Equal-Width equations with help of Caputo-Fabrizio. This combines Laplace method. The approximate results are calculated in series form easily computable components. fractional play an essential role describe hydromagnetic waves cold plasma. Our object is study nonlinear behaviour plasma system highlight critical points. techniques very reliable, effective, efficient, which can a...

This paper is devoted to generalizing the standard system of Navier boundary value problems a fractional coupled sequential by using terms Caputo derivatives. In other words, for first time, we design multi-term equations under conditions. The existence theory studied regarding solutions given via Krasnoselskii’s fixed-point theorem on two nonlinear operators. Moreover, Banach contraction principle applied investigate uniqueness solution. We then focus Hyers–Ulam-type stability its...

This article proposed two novel techniques for solving the fractional-order Boussinesq equation. Several new approximate analytical solutions of second- and fourth-order time-fractional equation are derived using Laplace transform Atangana–Baleanu fractional derivative operator. We give some graphical tabular representations exact method results, which strongly agree with each other, to demonstrate trustworthiness suggested methods. In addition, we obtain by applying approaches at different...

The goal of this paper was to study the oscillations a class fourth-order nonlinear delay differential equations with middle term. Novel oscillation theorems built on proper Riccati-type transformation, comparison approach, and integral-averaging conditions were developed, several symmetric properties solutions are presented. For validation these theorems, examples given highlight core results.

<abstract><p>In this paper, we establish an integral equality involving a multiplicative differentiable function for the integral. Then, use newly established to prove some new Simpson's and Newton's inequalities functions. Finally, give mathematical examples show validation of inequalities.</p></abstract>

This article addresses exact controllability for Caputo fuzzy fractional evolution equations in the credibility space from perspective of Liu process. The class or problems considered here are differential with derivatives order β∈(1,2), 0CDtβu(t,ζ)=Au(t,ζ)+f(t,u(t,ζ))dCt+Bx(t)Cx(t)dt initial conditions u(0)=u0,u′(0)=u1, where u(t,ζ) takes values U(⊂EN),V(⊂EN) is other bounded space, and EN represents set all upper semi-continuously convex numbers on R. In addition, several numerical...

In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA), Successive Differentiation (FSDM), and Novel Analytical (FNAM), have been introduced. These iterative methods are applied on types of Electrical RLC-Circuit Equations fractional-order. The fractional series approximation derived solutions can be established by using obtained coefficients. algorithms handle problems in a direct manner without any need for restrictive assumptions. comparison...

In this paper, we give the generalized version of quantum Simpson’s and Newton’s formula type inequalities via differentiable α,m-convex functions. The main advantage these new is that they can be converted into Simpson Newton for convex functions, function, without proving each separately. These helpful in finding error bounds formulas numerical integration. Analytic as well particularly related strategies have applications various fields where symmetry plays an important role.

In the present paper, we discuss a class of bi-univalent analytic functions by applying principle differential subordinations and convolutions. We also formulate influenced definition fractional q-derivative operator in an open symmetric unit disc. Further, provide estimate for function coefficients |a2| |a3| new classes. Over above, study interesting Fekete–Szego inequality each newly defined

Due to the rapid development of theoretical and computational techniques in recent years, role nonlinearity dynamical systems has attracted increasing interest been intensely investigated. A study nonlinear waves shallow water is presented this paper. The classic form Korteweg–de Vries (KdV) equation based on oceanography theory, sea, internal ion-acoustic plasma. fluid assumption shown framework by a sequence fractional partial differential equations. Indeed, primary purpose use...